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Finding the Third Proportional to 736,083 and 1,578,573

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Solution

The third proportional to 736,083 and 1,578,573 is: 3,385,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,083 : 1,578,573 = 1,578,573 : x
  2. Step 2: Convert to fraction form
    736,083/1,578,573 = 1,578,573/x
  3. Step 3: Cross multiply
    736,083x = 1,578,573 × 1,578,573
  4. Step 4: Simplify right side
    736,083x = 2,491,892,716,329
  5. Step 5: Solve for x
    x = 2,491,892,716,329/736,083
  6. Step 6: Final answer
    x = 3,385,342.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.